Выходит 6 номеров в год
ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110
Indexed in
An Order of Magnitude Analysis of the Two-Phase K-ε Model
Краткое описание
The objective of this paper is to derive a set of equations for modeling the statistical effects of turbulence in the context of the multidimensional two-fluid model for two-phase flows. Two-phase K-ε models based on the local instant formulation and its averaging have been developed by several authors. These models result in sets of very complicated equations including many interfacial interaction terms in addition to the phasic terms already appearing in single phase K-ε equations. The purpose of this paper is to simplify the equations of the two-phase K-ε model by performing a scale analysis analogous to Lumley's one done for turbulent single phase flows. There appear two nondimensional numbers, the turbulent Reynolds number of phase k, that was already present in the single-phase case, and another nondimensional number that represents the magnitude ratio between the interfacial interaction terms and the phasic terms pertaining to phase k. In the case of dispersed bubbly flows, we then propose a simplification of the two-phase K-ε model for dispersed bubbly flows based on an analysis of existing experimental data. We show that the dissipation rate equation can be considerably simplified.
-
Jamet D., Lebaigue O., Morel C., Arcen B., Towards a multi-scale approach of two-phase flow modeling in the context of DNB modeling, Nuclear Engineering and Design, 240, 9, 2010. Crossref
-
Morel Christophe, Ruyer Pierre, Seiler Nathalie, Laviéville Jérôme M., Comparison of several models for multi-size bubbly flows on an adiabatic experiment, International Journal of Multiphase Flow, 36, 1, 2010. Crossref
-
Morel C., Modeling approaches for strongly non-homogeneous two-phase flows, Nuclear Engineering and Design, 237, 11, 2007. Crossref
-
Liao Yixiang, Lucas Dirk, Krepper Eckhard, Schmidtke Martin, Development of a generalized coalescence and breakup closure for the inhomogeneous MUSIG model, Nuclear Engineering and Design, 241, 4, 2011. Crossref
-
Vaidheeswaran Avinash, Hibiki Takashi, Bubble-induced turbulence modeling for vertical bubbly flows, International Journal of Heat and Mass Transfer, 115, 2017. Crossref
-
Bellakhel Ghazi, Chahed Jamel, Masbernat Lucien, Analysis of the turbulence statistics and anisotropy in homogeneous shear bubbly flow using a turbulent viscosity model, Journal of Turbulence, 5, 2004. Crossref
-
Bellakhal Ghazi, Chaibina Fathia, Chahed Jamel, Assessment of turbulence models for bubbly flows: Toward a five-equation turbulence model, Chemical Engineering Science, 220, 2020. Crossref
-
Morel Christophe, Turbulence Models, in Mathematical Modeling of Disperse Two-Phase Flows, 114, 2015. Crossref
-
Morel Christophe, Turbulence Equations for a Continuous Phase, in Mathematical Modeling of Disperse Two-Phase Flows, 114, 2015. Crossref
-
Khalil Ahmed, Rosso Diego, DeGroot Christopher T., Effects of flow velocity and bubble size distribution on oxygen mass transfer in bubble column reactors—A critical evaluation of the computational fluid dynamics‐population balance model, Water Environment Research, 93, 10, 2021. Crossref
-
Rzehak Roland, Krepper Eckhard, CFD modeling of bubble-induced turbulence, International Journal of Multiphase Flow, 55, 2013. Crossref